Timeline for Topological obstruction for making a submanifold Lagrangian
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 10, 2023 at 18:14 | comment | added | Jonny Evans | @MattisBakken No, the normal bundle of either of the two factors is trivial. | |
| May 10, 2023 at 10:48 | comment | added | Mattis Bakken | @JonnyEvans One way to answer my question would indeed be to give an example where the obstruction is non-trivial. It seems to me that your example does not work: the normal bundle is $TS^2$ which is isomorphic to $T^*S^2$. | |
| May 9, 2023 at 21:35 | comment | added | Overflowian | @JonnyEvans I guess OP here is asking if there are other known obstructions that can be expressed in algebraic topological terms. | |
| May 9, 2023 at 20:22 | comment | added | Jonny Evans | Haven't you answered your own question here? Or are you looking for an example where your obstruction applies? e.g. take M = S^2 \times S^2 and N to be one of the two factors | |
| May 9, 2023 at 13:55 | history | asked | Mattis Bakken | CC BY-SA 4.0 |